Quantum dynamics of gate operations on charge qubits

R. Green; J. B. Wang

doi:10.1166/jctn.2004.026

Quantum dynamics of gate operations on charge qubits

R. Green, J. B. Wang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We present a detailed analysis of the time evolution of a charge qubit realized in the lowest bound states of a double well potential. A mechanism for quantum gate operations on this qubit is modeled by directly solving the corresponding time-dependent Schrödinger equation. We demonstrate that the mechanism induces complicated non-adiabatic time evolution of the qubit system. With ideal potentials and instantaneous switching, this mechanism is shown to be capable of carrying out a NOT gate operation, and rotations by π/4 and 3π/4 Effects of non-ideal potentials and smooth switching are also examined.

Original language	English
Pages (from-to)	309-316
Number of pages	8
Journal	Journal of Computational and Theoretical Nanoscience
Volume	1
Issue number	3
DOIs	https://doi.org/10.1166/jctn.2004.026
Publication status	Published - Sep 2004
Externally published	Yes

Keywords

Charge qubits
Quantum dynamics
Quantum gates
Time-dependent Schrödinger equation

Access to Document

10.1166/jctn.2004.026

Cite this

@article{9f207ca318a2419881e9da8fdb911a51,

title = "Quantum dynamics of gate operations on charge qubits",

abstract = "We present a detailed analysis of the time evolution of a charge qubit realized in the lowest bound states of a double well potential. A mechanism for quantum gate operations on this qubit is modeled by directly solving the corresponding time-dependent Schr{\"o}dinger equation. We demonstrate that the mechanism induces complicated non-adiabatic time evolution of the qubit system. With ideal potentials and instantaneous switching, this mechanism is shown to be capable of carrying out a NOT gate operation, and rotations by π/4 and 3π/4 Effects of non-ideal potentials and smooth switching are also examined.",

keywords = "Charge qubits, Quantum dynamics, Quantum gates, Time-dependent Schr{\"o}dinger equation",

author = "R. Green and Wang, {J. B.}",

year = "2004",

month = sep,

doi = "10.1166/jctn.2004.026",

language = "English",

volume = "1",

pages = "309--316",

journal = "Journal of Computational and Theoretical Nanoscience",

issn = "1546-1955",

publisher = "American Scientific Publishers",

number = "3",

}

TY - JOUR

T1 - Quantum dynamics of gate operations on charge qubits

AU - Green, R.

AU - Wang, J. B.

PY - 2004/9

Y1 - 2004/9

N2 - We present a detailed analysis of the time evolution of a charge qubit realized in the lowest bound states of a double well potential. A mechanism for quantum gate operations on this qubit is modeled by directly solving the corresponding time-dependent Schrödinger equation. We demonstrate that the mechanism induces complicated non-adiabatic time evolution of the qubit system. With ideal potentials and instantaneous switching, this mechanism is shown to be capable of carrying out a NOT gate operation, and rotations by π/4 and 3π/4 Effects of non-ideal potentials and smooth switching are also examined.

AB - We present a detailed analysis of the time evolution of a charge qubit realized in the lowest bound states of a double well potential. A mechanism for quantum gate operations on this qubit is modeled by directly solving the corresponding time-dependent Schrödinger equation. We demonstrate that the mechanism induces complicated non-adiabatic time evolution of the qubit system. With ideal potentials and instantaneous switching, this mechanism is shown to be capable of carrying out a NOT gate operation, and rotations by π/4 and 3π/4 Effects of non-ideal potentials and smooth switching are also examined.

KW - Charge qubits

KW - Quantum dynamics

KW - Quantum gates

KW - Time-dependent Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=15344343224&partnerID=8YFLogxK

U2 - 10.1166/jctn.2004.026

DO - 10.1166/jctn.2004.026

M3 - Article

AN - SCOPUS:15344343224

VL - 1

SP - 309

EP - 316

JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

SN - 1546-1955

IS - 3

ER -

Quantum dynamics of gate operations on charge qubits

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this